Primary Paramodulation.

Abstract

Computers can directly use mathematical logic, that is first-order predicate calculus, in decision making and problem solving by the application of proof strategies involving resolution and paramodulation. A new category of problem solving strategies is defined which has the interesting and unusual property that refutations are formed by mixing certain primary paramodulants with resolvents obtained from any complete strategy in the predicate calculus without equality. Also, a new and easily applied technique is given for verifying that subsumed clauses can be eliminated from deductions. This technique is applied to all the strategies considered in this paper. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1971
Accession Number
AD0730714

Entities

People

  • Alfred H. Morris Jr.
  • Hartmul G. M. Huber

Organizations

  • Naval Surface Warfare Center Dahlgren Division

Tags

DTIC Thesaurus Topics

  • Calculus
  • Computers
  • Logic
  • Mathematical Logic

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Computational Linguistics
  • Mathematical Modeling and Probability Theory.